Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.7%	6.2%	50%	0%	0%	0%	4
93.8%	46.8%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	49.9%	0%	50%	0%	0%	0%	11
100%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample4.5s (42.4%)

Memory

-87.0MiB live, 3 975.1MiB allocated

Samples

3.6s	5 599×	2	valid
469.0ms	2 498×	1	valid
10.0ms	159×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.7s

ival-sin: 2.8s (75% of total)

adjust: 280.0ms (7.6% of total)

ival-div: 273.0ms (7.4% of total)

ival-sub: 187.0ms (5.1% of total)

ival-<=: 101.0ms (2.7% of total)

ival-tan: 52.0ms (1.4% of total)

ival-and: 12.0ms (0.3% of total)

exact: 11.0ms (0.3% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain277.0ms (2.6%)

Memory

4.4MiB live, 241.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
90	1	(3.022591715087555e-108)	0	-	`(-.f64 x (sin.f64 x))`
47	0	-	3	(-2.6748406966103194e-105)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	91	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	44	0
↳	`(-.f64 x (sin.f64 x))`	underflow	165

Confusion

	Predicted +	Predicted -
+	135	0
-	0	121

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	0	0	121

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

179.0ms	356×	2	valid
18.0ms	148×	1	valid
0.0ms	8×	0	valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-sin: 124.0ms (70.4% of total)

ival-div: 28.0ms (15.9% of total)

adjust: 13.0ms (7.4% of total)

ival-sub: 7.0ms (4% of total)

ival-tan: 4.0ms (2.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess296.0ms (2.8%)

Memory

1.4MiB live, 253.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	21	19
2	52	19
3	96	19
4	173	19
5	381	19
6	915	19
7	2253	19
8	4675	19
0	5	7
0	9	7
1	15	7
2	18	7
3	23	7
4	32	7
5	54	7
6	94	7
7	194	7
8	462	7
9	804	7
10	1478	7
11	2559	7
12	3065	7
13	3443	7
14	3727	7
15	3853	7
16	3880	7
17	3883	7
18	3886	7
19	3898	7
20	3901	7
21	3904	7
22	3907	7
23	3910	7
24	3913	7
25	3916	7
26	3919	7
27	7377	7
0	8134	7

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify278.0ms (2.6%)

Memory

-8.1MiB live, 184.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(sin.f64 x)
cost-diff	0	(-.f64 x (sin.f64 x))
cost-diff	0	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	15	16
2	18	16
3	23	16
4	32	16
5	54	16
6	94	16
7	194	16
8	462	16
9	804	16
10	1478	16
11	2559	16
12	3065	16
13	3443	16
14	3727	16
15	3853	16
16	3880	16
17	3883	16
18	3886	16
19	3898	16
20	3901	16
21	3904	16
22	3907	16
23	3910	16
24	3913	16
25	3916	16
26	3919	16
27	7377	16
0	8134	16

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize136.0ms (1.3%)

Memory

-3.3MiB live, 88.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.0	(sin.f64 x)
accuracy	9.866355579785646	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	20.001386552776175	(-.f64 x (sin.f64 x))

Samples

91.0ms	178×	2	valid
9.0ms	74×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-sin: 74.0ms (82.5% of total)

adjust: 6.0ms (6.7% of total)

ival-div: 4.0ms (4.5% of total)

ival-sub: 3.0ms (3.3% of total)

ival-tan: 2.0ms (2.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Counts

4 → 22

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))
1.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))
1.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))

simplify198.0ms (1.9%)

Memory

-8.9MiB live, 135.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	261
1	342	247
2	1093	245
3	4412	243
0	8322	226

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 21

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) (/.f64 x x)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(sin x)
(sin.f64 x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) (/.f64 x x)))
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)

rewrite297.0ms (2.8%)

Memory

-3.2MiB live, 83.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	33	15
2	228	15
3	2190	15
0	8310	15

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 170

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

Outputs
(.f64 (/.f64 (-.f64 x (sin.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (cos.f64 x)))
(*.f64 (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 x))
(*.f64 (/.f64 (+.f64 (sin.f64 x) x) (+.f64 (sin.f64 x) x)) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(.f64 (+.f64 (sin.f64 x) x) (/.f64 (-.f64 x (sin.f64 x)) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (tan.f64 x) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (.f64 (tan.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))) (.f64 (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))) (.f64 (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) (tan.f64 x))))
(/.f64 (-.f64 (.f64 (.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (tan.f64 x)) (*.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)) (.f64 (tan.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 x)) (sin.f64 x)) (.f64 (sin.f64 x) (.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 x)) (tan.f64 x)) (.f64 (sin.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))) (.f64 (tan.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x (cos.f64 x)) (neg.f64 (tan.f64 x))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 x))))
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(/.f64 (-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (sin.f64 x) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (sin.f64 x) #s(literal 9 binary64))) (.f64 (+.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))
(neg.f64 (-.f64 x (sin.f64 x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 x (sin.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(fma.f64 x (/.f64 x (+.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(-.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))))
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 #s(literal 2 binary64)))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 x))))
(fabs.f64 (neg.f64 (sin.f64 x)))
(fabs.f64 (sin.f64 x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 0 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 2 binary64)))
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))))))
(/.f64 (sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64))))
(tan.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (neg.f64 x)) (PI.f64)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))
(tan.f64 (neg.f64 (neg.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))))

eval19.0ms (0.2%)

Memory: 15.2MiB live, 15.2MiB allocated
Compiler: Compiled 4 374 to 721 computations (83.5% saved)

prune6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	184	5	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	5	190

Accuracy

99.9%

Counts

190 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.8%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 196 to 132 computations (32.7% saved)

simplify180.0ms (1.7%)

Memory

-28.6MiB live, 121.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	0	(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
cost-diff	0	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	306
0	63	306
1	107	306
2	255	306
3	665	306
4	1460	306
5	2323	306
6	2954	306
7	3288	306
8	3917	306
9	5143	306
10	7970	306
0	8028	306

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
#s(literal -143/604800 binary64)
(*.f64 x x)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
#s(literal -143/604800 binary64)
(*.f64 x x)
#s(literal 11/15120 binary64)
#s(literal 23/360 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

localize362.0ms (3.4%)

Memory

14.4MiB live, 391.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 x #s(literal 3 binary64))
accuracy	0.15234375	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy	0.47815591740228125	#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy	9.866355579785646	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.109375	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.171875	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
accuracy	0.171875	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.21875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.01171875	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.058698876639766966	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy	0.12890625	(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3046875	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.21875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.5727301170829545	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.01171875	(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
accuracy	0.12890625	(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.15625	(.f64 #s(literal -11/15120 binary64) (.f64 x x))
accuracy	0.3125	(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)

Samples

253.0ms	178×	2	valid
75.0ms	74×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 246 to 37 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

adjust: 80.0ms (28.9% of total)

ival-sin: 62.0ms (22.4% of total)

const: 43.0ms (15.5% of total)

ival-mult: 42.0ms (15.2% of total)

ival-tan: 21.0ms (7.6% of total)

ival-sub: 10.0ms (3.6% of total)

ival-pow: 8.0ms (2.9% of total)

ival-add: 6.0ms (2.2% of total)

ival-div: 5.0ms (1.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated

Counts

24 → 58

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(pow x 2)
(pow x 4)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(* -11/15120 (pow x 2))
(* -143/604800 (pow x 2))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* -11/15120 (* x x)) (- (* -11/15120 (* x x)) 23/360) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x))
4.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* -11/15120 (* x x)) (- (* -11/15120 (* x x)) 23/360) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x))
4.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* -11/15120 (* x x)) (- (* -11/15120 (* x x)) 23/360) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x))

Time

Variable

Point

Expression

6.0ms

inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* -11/15120 (* x x)) (- (* -11/15120 (* x x)) 23/360) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x))

4.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* -11/15120 (* x x)) (- (* -11/15120 (* x x)) 23/360) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x))

4.0ms

((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (+ (* (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360)) (* (* x x) 1/6)) (pow x 4) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (* -11/15120 (* x x)) (- (* -11/15120 (* x x)) 23/360) (* -143/604800 (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x))

simplify154.0ms (1.5%)

Memory

3.2MiB live, 97.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	569
1	435	568
2	1463	556
3	5407	556
0	8387	538

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(pow x 2)
(pow x 4)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
(* -11/15120 (pow x 2))
(* -143/604800 (pow x 2))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 #s(literal -11/15120 binary64) x) x)
(* -143/604800 (pow x 2))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -23/360 (pow x 2))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 (/.f64 #s(literal -11/15120 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64)))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(* -143/604800 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64) (*.f64 #s(literal -11/15120 binary64) x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))

rewrite297.0ms (2.8%)

Memory

-0.9MiB live, 189.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	265
0	63	265
1	211	265
2	1375	265
0	8452	265

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 387

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
(-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
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(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(.f64 (.f64 #s(literal -11/15120 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -11/15120 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -11/15120 binary64)))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -11/15120 binary64) x))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))) (.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))) (.f64 (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))))) (+.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (fma.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (fma.f64 (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)) #s(literal 529/129600 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))) #s(literal 12167/46656000 binary64))) (.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64))) (neg.f64 (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 12167/46656000 binary64)) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(-.f64 (/.f64 (.f64 #s(literal -1331/3456649728000 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))) (/.f64 #s(literal 12167/46656000 binary64) (fma.f64 #s(literal 121/228614400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -253/5443200 binary64) #s(literal 529/129600 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(.f64 (.f64 #s(literal -143/604800 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -143/604800 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -143/604800 binary64)))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -143/604800 binary64))
(.f64 x (.f64 #s(literal -143/604800 binary64) x))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 x (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) x)) (neg.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)) x)) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)))) (neg.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)))) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) x) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)) x) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64))) (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (.f64 x (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64))) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)))
(.f64 x (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal 11/15120 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 121/228614400 binary64)) (.f64 x x)) (fma.f64 #s(literal -143/604800 binary64) (.f64 x x) #s(literal 11/15120 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal -2924207/221225582592000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1331/3456649728000 binary64)) (.f64 x x)) (fma.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -1573/9144576000 binary64) #s(literal 121/228614400 binary64))))

eval104.0ms (1%)

Memory: 7.0MiB live, 140.1MiB allocated
Compiler: Compiled 22 283 to 2 487 computations (88.8% saved)

prune46.0ms (0.4%)

Memory

-23.5MiB live, 41.7MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	523	11	534
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	526	13	539

Accuracy

100.0%

Counts

539 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.7%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) x))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
	50.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	74.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 627 to 403 computations (35.7% saved)

simplify114.0ms (1.1%)

Memory

2.1MiB live, 194.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff	2	(.f64 (.f64 x x) x)
cost-diff	1	(-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
cost-diff	2	(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
cost-diff	2	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)))
cost-diff	6	(.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	1	(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
cost-diff	2	(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
cost-diff	0	#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	488
0	77	471
1	159	431
2	499	411
3	2725	396
0	8293	388

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal 23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x)
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
x
(.f64 #s(literal 1/36 binary64) (.f64 x x))
#s(literal 1/36 binary64)
(-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal 23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) x)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))
(-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) x)
(.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
x
(.f64 #s(literal 1/36 binary64) (.f64 x x))
#s(literal 1/36 binary64)
(-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(tan.f64 x)

localize349.0ms (3.3%)

Memory

1.8MiB live, 428.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(.f64 (.f64 x x) x)
accuracy	0.15234375	(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
accuracy	0.47815591740228125	#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
accuracy	9.866355579785646	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy	0.193691259768442	(.f64 #s(literal 1/36 binary64) (.f64 x x))
accuracy	0.26171875	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.3125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	28.96691140708539	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)))
accuracy	0.12890625	(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
accuracy	0.15625	(.f64 (.f64 x x) #s(literal -11/15120 binary64))
accuracy	0.3125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.5703125	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
accuracy	0.0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy	0.12890625	(.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy	0.3125	(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy	0.5687925710445826	#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.01171875	(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
accuracy	0.12890625	(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy	0.3125	(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)

Samples

206.0ms	178×	2	valid
102.0ms	74×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 386 to 42 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 240.0ms

ival-mult: 86.0ms (35.8% of total)

ival-sin: 43.0ms (17.9% of total)

adjust: 27.0ms (11.3% of total)

ival-sub: 25.0ms (10.4% of total)

const: 25.0ms (10.4% of total)

ival-div: 23.0ms (9.6% of total)

ival-add: 8.0ms (3.3% of total)

ival-tan: 2.0ms (0.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

-9.8MiB live, 35.7MiB allocated

Counts

26 → 49

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(.f64 (.f64 x x) x)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 #s(literal 1/36 binary64) (.f64 x x))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* 529/129600 (pow x 6))
(* -23/360 (pow x 3))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(pow x 3)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 2))
(* 1/36 (pow x 2))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (* 1/6 x)) (* (* (- (* (* x x) -11/15120) 23/360) x) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (* 1/6 x)) x) (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (/ (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* -23/360 (* x x)) x) (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (* (* x x) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (+ (* -11/15120 (* x x)) -23/360) (* (- (* (* x x) -11/15120) 23/360) x) (* 1/6 x) (* (* x x) -11/15120) (* -23/360 (* x x)) (* 1/36 (* x x)))

5.0ms

inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (* 1/6 x)) (* (* (- (* (* x x) -11/15120) 23/360) x) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (* 1/6 x)) x) (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (/ (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* -23/360 (* x x)) x) (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (* (* x x) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (+ (* -11/15120 (* x x)) -23/360) (* (- (* (* x x) -11/15120) 23/360) x) (* 1/6 x) (* (* x x) -11/15120) (* -23/360 (* x x)) (* 1/36 (* x x)))

3.0ms

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (* 1/6 x)) (* (* (- (* (* x x) -11/15120) 23/360) x) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (* 1/6 x)) x) (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (/ (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* -23/360 (* x x)) x) (- (* (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (* (* x x) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (+ (* -11/15120 (* x x)) -23/360) (* (- (* (* x x) -11/15120) 23/360) x) (* 1/6 x) (* (* x x) -11/15120) (* -23/360 (* x x)) (* 1/36 (* x x)))

simplify154.0ms (1.5%)

Memory

4.0MiB live, 202.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	459
1	382	458
2	1244	453
3	4583	453
0	8372	433

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 48

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* 529/129600 (pow x 6))
(* -23/360 (pow x 3))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(pow x 3)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 2))
(* 1/36 (pow x 2))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))

Outputs
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(* 529/129600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* -1/36 (pow x 2))
(.f64 #s(literal -1/36 binary64) (.f64 x x))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 (.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) #s(literal 1/120 binary64))) (.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x)
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* x (- (/ (sin x) x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)))

rewrite238.0ms (2.3%)

Memory

7.1MiB live, 238.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	359
0	74	320
1	273	306
2	1833	302
0	8515	293

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

26 → 727

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)))
(.f64 (.f64 x x) x)
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 #s(literal 1/36 binary64) (.f64 x x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) x)) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(fma.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) #s(literal 1/216 binary64))) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
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(.f64 (.f64 #s(literal -11/15120 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -11/15120 binary64)))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal -11/15120 binary64) x))
(.f64 (.f64 #s(literal -23/360 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -23/360 binary64)))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(.f64 x (.f64 #s(literal -23/360 binary64) x))
(.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x))))
(.f64 (fabs.f64 (.f64 #s(literal 1/36 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/6 binary64))) x)
(.f64 (fabs.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x)) #s(literal 1/6 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 1/36 binary64) x)) x)
(.f64 (.f64 #s(literal 1/36 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/6 binary64))
(.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) x)) (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 #s(literal 1/36 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/36 binary64)))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(.f64 #s(literal 1/6 binary64) (fabs.f64 (.f64 x (*.f64 #s(literal 1/6 binary64) x))))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/36 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) x))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/36 binary64) x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 x (.f64 #s(literal 1/36 binary64) x))
(pow.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x))))
(fabs.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal 2 binary64)))

eval182.0ms (1.7%)

Memory: 23.5MiB live, 220.2MiB allocated
Compiler: Compiled 37 762 to 4 183 computations (88.9% saved)

prune77.0ms (0.7%)

Memory

-39.5MiB live, 59.4MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	871	6	877
Fresh	1	5	6
Picked	2	3	5
Done	0	2	2
Total	874	16	890

Accuracy

100.0%

Counts

890 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.7%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
▶	79.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64)) x) (.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x)))) (.f64 (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) x))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx (- ( (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
▶	50.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	74.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 870 to 509 computations (41.5% saved)

simplify248.0ms (2.4%)

Memory

36.7MiB live, 172.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	4	(/.f64 (*.f64 #s(literal -1/36 binary64) x) x)
cost-diff	4	(.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x))
cost-diff	4	(/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)
cost-diff	11	(fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
cost-diff	2	(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
cost-diff	4	(.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x))
cost-diff	4	(/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x)))
cost-diff	6	(fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x))
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
cost-diff	1	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
cost-diff	2	(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x))))
cost-diff	0	#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
cost-diff	0	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
cost-diff	0	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
cost-diff	2	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	738
0	108	695
1	216	645
2	696	592
3	3874	569
0	8232	552

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal 23/360 binary64)
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
#s(literal 1/36 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)
(/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x)))
(fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
x
(.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x))
(.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)
(neg.f64 (*.f64 #s(literal 1/36 binary64) x))
(*.f64 #s(literal 1/36 binary64) x)
#s(literal 1/36 binary64)
(-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x)
(fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
(/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
x
(/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -1/6 binary64)
(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (*.f64 #s(literal -1/36 binary64) x) x)
(*.f64 #s(literal -1/36 binary64) x)
#s(literal -1/36 binary64)
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x)) (.f64 x x)))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x) x)) (.f64 x x))
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))) x))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))) x)
(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x)
(.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
(.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)
(-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal 23/360 binary64)
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
#s(literal 1/36 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x)
(.f64 (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x)))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x))
(.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
x
(.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)
(.f64 #s(literal -1/36 binary64) (.f64 x x))
(neg.f64 (*.f64 #s(literal 1/36 binary64) x))
(*.f64 #s(literal -1/36 binary64) x)
(*.f64 #s(literal 1/36 binary64) x)
#s(literal 1/36 binary64)
(-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x)
(.f64 (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)
(*.f64 #s(literal -23/360 binary64) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(literal -23/360 binary64)
(*.f64 x x)
x
(/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -23/360 binary64) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -1/6 binary64)
(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #s(literal -1/36 binary64))
(/.f64 (*.f64 #s(literal -1/36 binary64) x) x)
#s(literal -1/36 binary64)
(*.f64 #s(literal -1/36 binary64) x)
#s(literal -1/36 binary64)
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))

localize918.0ms (8.7%)

Memory

-13.4MiB live, 551.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.491230029305326	(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
accuracy	0.51171875	(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
accuracy	0.5625	(*.f64 #s(literal -23/360 binary64) x)
accuracy	28.744733907399706	(/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)
accuracy	0.26171875	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.3125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.35546875	(*.f64 #s(literal 1/36 binary64) x)
accuracy	28.96691140708539	(/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x)))
accuracy	0.193691259768442	(.f64 #s(literal 1/36 binary64) (.f64 x x))
accuracy	0.5703125	(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
accuracy	12.900259504575299	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
accuracy	28.72087840484945	(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
accuracy	0.2109375	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy	0.29296875	(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
accuracy	0.3046875	(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
accuracy	29.7284792784	(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
accuracy	0.1171875	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
accuracy	0.12890625	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
accuracy	0.3125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.5703125	(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)

Samples

474.0ms	145×	2	valid
214.0ms	72×	1	valid
126.0ms	34×	3	valid
2.0ms	5×	0	valid

Compiler

Compiled 585 to 61 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 752.0ms

ival-add: 215.0ms (28.6% of total)

ival-mult: 192.0ms (25.5% of total)

ival-sin: 146.0ms (19.4% of total)

adjust: 66.0ms (8.8% of total)

ival-sub: 56.0ms (7.4% of total)

const: 42.0ms (5.6% of total)

ival-div: 27.0ms (3.6% of total)

ival-sqrt: 4.0ms (0.5% of total)

ival-tan: 2.0ms (0.3% of total)

ival-neg: 2.0ms (0.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series52.0ms (0.5%)

Memory

-3.6MiB live, 41.8MiB allocated

Counts

31 → 68

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x))))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
(fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x))
(/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
(/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)
(/.f64 (*.f64 #s(literal -1/36 binary64) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(*.f64 #s(literal 1/36 binary64) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(*.f64 #s(literal -23/360 binary64) x)
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))

Outputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* -23/360 (pow x 4))
(* -23/360 (pow x 3))
-1/36
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 x)
(* -6 x)
(* x (- (* 23/10 (pow x 2)) 6))
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(* x (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ 10/23 x)
(/ (- 10/23 (* 600/529 (/ 1 (pow x 2)))) x)
(/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2)))) x)
(/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6))))) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2)))))))
(* (pow x 6) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 11/15120))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1/6 x)
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
(* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) 10/23) x))
(* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))
(* -1 (/ (- (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))

Calls

3 calls:

Time

Variable

Point

Expression

36.0ms

-inf

((+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (sqrt (* 1/36 (* x x)))) (* (- (* (* x x) -11/15120) 23/360) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (sqrt (* 1/36 (* x x)))) x) (+ (* (* -23/360 (* x x)) (* (* -23/360 (* x x)) (* x x))) (* (neg (* 1/36 x)) x)) (/ (+ (* (* -23/360 (* x x)) (* (* -23/360 (* x x)) (* x x))) (* (neg (* 1/36 x)) x)) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* -23/360 (* x x)) (* x x)) (* (* -23/360 (* x x)) x) (+ (* (/ (* -23/360 (* x x)) x) (/ (* (* -23/360 (* x x)) (* x x)) (+ (* (* -23/360 x) x) -1/6))) (* (/ (* -1/36 x) x) (/ x (+ (* (* -23/360 x) x) -1/6)))) (/ (* -23/360 (* x x)) x) (/ (* -1/36 x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (* 1/6 x) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)) (sqrt (* 1/36 (* x x))) (* 1/36 (* x x)) (* 1/36 x) (* -23/360 (* x x)) (* -23/360 x) (/ x (+ (* (* -23/360 x) x) -1/6)) (* (/ (* -1/36 x) x) (/ x (+ (* (* -23/360 x) x) -1/6))))

7.0ms

((+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (sqrt (* 1/36 (* x x)))) (* (- (* (* x x) -11/15120) 23/360) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (sqrt (* 1/36 (* x x)))) x) (+ (* (* -23/360 (* x x)) (* (* -23/360 (* x x)) (* x x))) (* (neg (* 1/36 x)) x)) (/ (+ (* (* -23/360 (* x x)) (* (* -23/360 (* x x)) (* x x))) (* (neg (* 1/36 x)) x)) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* -23/360 (* x x)) (* x x)) (* (* -23/360 (* x x)) x) (+ (* (/ (* -23/360 (* x x)) x) (/ (* (* -23/360 (* x x)) (* x x)) (+ (* (* -23/360 x) x) -1/6))) (* (/ (* -1/36 x) x) (/ x (+ (* (* -23/360 x) x) -1/6)))) (/ (* -23/360 (* x x)) x) (/ (* -1/36 x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (* 1/6 x) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)) (sqrt (* 1/36 (* x x))) (* 1/36 (* x x)) (* 1/36 x) (* -23/360 (* x x)) (* -23/360 x) (/ x (+ (* (* -23/360 x) x) -1/6)) (* (/ (* -1/36 x) x) (/ x (+ (* (* -23/360 x) x) -1/6))))

7.0ms

inf

((+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (+ (* (* x x) -11/15120) -23/360) x) x) x) (* 1/6 x)) x) (* (* (+ (* (* x x) -11/15120) -23/360) x) x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (sqrt (* 1/36 (* x x)))) (* (- (* (* x x) -11/15120) 23/360) x) (/ (- x (sin x)) (tan x)) (* (+ (* (* (* (- (* (* x x) -11/15120) 23/360) x) x) x) (sqrt (* 1/36 (* x x)))) x) (+ (* (* -23/360 (* x x)) (* (* -23/360 (* x x)) (* x x))) (* (neg (* 1/36 x)) x)) (/ (+ (* (* -23/360 (* x x)) (* (* -23/360 (* x x)) (* x x))) (* (neg (* 1/36 x)) x)) (- (* (* -23/360 (* x x)) x) (* 1/6 x))) (* (* -23/360 (* x x)) (* x x)) (* (* -23/360 (* x x)) x) (+ (* (/ (* -23/360 (* x x)) x) (/ (* (* -23/360 (* x x)) (* x x)) (+ (* (* -23/360 x) x) -1/6))) (* (/ (* -1/36 x) x) (/ x (+ (* (* -23/360 x) x) -1/6)))) (/ (* -23/360 (* x x)) x) (/ (* -1/36 x) x) (* (+ (* (* x x) -11/15120) -23/360) x) (* 1/6 x) (* (- (/ 1/6 (* x x)) 23/360) x) (* (* (- (/ 1/6 (* x x)) 23/360) x) x) (/ 1/6 (* x x)) (sqrt (* 1/36 (* x x))) (* 1/36 (* x x)) (* 1/36 x) (* -23/360 (* x x)) (* -23/360 x) (/ x (+ (* (* -23/360 x) x) -1/6)) (* (/ (* -1/36 x) x) (/ x (+ (* (* -23/360 x) x) -1/6))))

simplify186.0ms (1.8%)

Memory

10.3MiB live, 251.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	203	719
1	574	719
2	1660	710
3	5225	708
0	8103	696

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

Inputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* -23/360 (pow x 4))
(* -23/360 (pow x 3))
-1/36
(/ 1/6 x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/ 1/6 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 x)
(* -6 x)
(* x (- (* 23/10 (pow x 2)) 6))
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(* x (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -11/15120 (pow x 3))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ 10/23 x)
(/ (- 10/23 (* 600/529 (/ 1 (pow x 2)))) x)
(/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2)))) x)
(/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6))))) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2)))))))
(* (pow x 6) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 11/15120))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1/6 x)
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
(* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) 10/23) x))
(* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))
(* -1 (/ (- (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))

Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (-.f64 (.f64 (.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* -23/360 x)
(*.f64 #s(literal -23/360 binary64) x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (-.f64 (.f64 (*.f64 #s(literal -11/15120 binary64) x) x) #s(literal 23/360 binary64)) x)
(* -1/36 (pow x 2))
(.f64 #s(literal -1/36 binary64) (.f64 x x))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 (.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) x) x)
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
-1/36
#s(literal -1/36 binary64)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* -23/360 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(/ 1/6 (pow x 2))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 x)
(*.f64 #s(literal 1/36 binary64) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (- (* 23/10 (pow x 2)) 6))
(.f64 (-.f64 (.f64 #s(literal 23/10 binary64) (*.f64 x x)) #s(literal 6 binary64)) x)
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(.f64 (fma.f64 #s(literal -529/600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 23/10 binary64) (*.f64 x x)) #s(literal 6 binary64))) x)
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 12167/36000 binary64) (.f64 x x)) #s(literal 529/600 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 23/10 binary64) (*.f64 x x)) #s(literal 6 binary64))) x)
(* x (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 529/21600 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))
(.f64 (fma.f64 (fma.f64 #s(literal -12167/1296000 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 529/21600 binary64) (.f64 x x)) #s(literal 23/360 binary64))) (.f64 x x) #s(literal 1/6 binary64)) x)
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))
(* -11/15120 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* 529/129600 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x)
(/ -360/23 x)
(/.f64 #s(literal -360/23 binary64) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(-.f64 (/.f64 #s(literal 21600/529 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) x))
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -21600/529 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64))) x)
(/ 10/23 x)
(/.f64 #s(literal 10/23 binary64) x)
(/ (- 10/23 (* 600/529 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 10/23 binary64) (/.f64 #s(literal 600/529 binary64) (*.f64 x x))) x)
(/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 36000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10/23 binary64)) (/.f64 #s(literal 600/529 binary64) (*.f64 x x))) x)
(/ (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 36000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10/23 binary64)) (/.f64 #s(literal 600/529 binary64) (*.f64 x x))) (/.f64 #s(literal 2160000/279841 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (-.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x)) x)
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -23/360 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (+ 11/15120 (+ (/ 1/6 (pow x 4)) (* 23/360 (/ 1 (pow x 2)))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -11/15120 binary64)) (/.f64 #s(literal 23/360 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 23/360 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 11/15120))
(.f64 (+.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/15120 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal -23/360 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal -360/23 binary64)) x)
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 360/23 binary64)) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 x))
(* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) 10/23) x))
(/.f64 (-.f64 (/.f64 #s(literal 600/529 binary64) (*.f64 x x)) #s(literal 10/23 binary64)) (neg.f64 x))
(* -1 (/ (- (* 600/529 (/ 1 (pow x 2))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 600/529 binary64) (*.f64 x x)) #s(literal 10/23 binary64)) (/.f64 #s(literal 36000/12167 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(* -1 (/ (- (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))) (+ 10/23 (/ 36000/12167 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2160000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -600/529 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 36000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 10/23 binary64))) (neg.f64 x))

rewrite119.0ms (1.1%)

Memory

-9.6MiB live, 179.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	439
0	102	424
1	368	346
0	2849	334

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

31 → 538

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))
(fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x))))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
(.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x)
(fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x))
(/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
(fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
(/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)
(/.f64 (*.f64 #s(literal -1/36 binary64) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) x)
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(*.f64 #s(literal 1/36 binary64) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(*.f64 #s(literal -23/360 binary64) x)
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))

Outputs
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x)
(.f64 x (-.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) #s(literal -1/6 binary64)))
(.f64 x (fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/6 binary64) x))) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/6 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal -1/6 binary64) x) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/6 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/6 binary64) x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) x) x (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/216 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (neg.f64 x)) (neg.f64 x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (.f64 x x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 x #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x) x) (.f64 #s(literal 1/6 binary64) x))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/6 binary64) x))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/6 binary64) x))))
(-.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) x))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)) x))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) x)) (*.f64 x x)))
(-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) x) x)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))))
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(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 529/129600 binary64)) (.f64 x x)) (+.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 23/2160 binary64) (.f64 x x)) #s(literal 529/129600 binary64)) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1/6 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/2 binary64)) (fabs.f64 x))
(*.f64 (fabs.f64 x) (pow.f64 #s(literal 1/36 binary64) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (fabs.f64 x))
(pow.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/6 binary64)) x)
(.f64 (.f64 #s(literal 1/36 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal 1/6 binary64)) (fabs.f64 x))
(.f64 (.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal 1/6 binary64))
(.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) x)) (neg.f64 (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (neg.f64 (.f64 (fabs.f64 x) #s(literal 1/6 binary64))) (neg.f64 (*.f64 (fabs.f64 x) #s(literal 1/6 binary64))))
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) x)) (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (fabs.f64 (.f64 (fabs.f64 x) #s(literal 1/6 binary64))) (fabs.f64 (*.f64 (fabs.f64 x) #s(literal 1/6 binary64))))
(.f64 (.f64 #s(literal 1/36 binary64) x) x)
(.f64 (neg.f64 x) (.f64 #s(literal -1/36 binary64) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/36 binary64)))
(.f64 (.f64 #s(literal -1/36 binary64) x) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/6 binary64) x))
(.f64 #s(literal 1/6 binary64) (.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 x (.f64 #s(literal 1/36 binary64) x))
(pow.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64))
(neg.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)))
(sqrt.f64 (pow.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/36 binary64))
(*.f64 #s(literal -1/36 binary64) (neg.f64 x))
(*.f64 #s(literal 1/36 binary64) (neg.f64 (neg.f64 x)))
(*.f64 #s(literal 1/36 binary64) x)
(*.f64 x #s(literal 1/36 binary64))
(neg.f64 (*.f64 #s(literal -1/36 binary64) x))
(.f64 (.f64 #s(literal -23/360 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -23/360 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -23/360 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal -23/360 binary64)))
(.f64 (.f64 #s(literal -23/360 binary64) x) x)
(.f64 #s(literal -23/360 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(.f64 x (.f64 #s(literal -23/360 binary64) x))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 x #s(literal -23/360 binary64))
(.f64 (/.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal -1/6 binary64)))
(.f64 (/.f64 x (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 23/2160 binary64)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 x) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(neg.f64 (/.f64 x (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)))) (.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -12167/46656000 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 23/2160 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #s(literal -1/36 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #s(literal -1/36 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #s(literal -1/36 binary64))
(.f64 (.f64 #s(literal -1/36 binary64) x) (/.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x))
(.f64 (.f64 #s(literal -1/36 binary64) x) (/.f64 x (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)))
(.f64 #s(literal -1/36 binary64) (.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))))
(.f64 #s(literal -1/36 binary64) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1/36 binary64) (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(.f64 x (/.f64 (.f64 #s(literal -1/36 binary64) x) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)))
(/.f64 (.f64 (/.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (*.f64 #s(literal 1/36 binary64) x)) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 x (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #s(literal -1/36 binary64)))) (neg.f64 x))
(/.f64 (.f64 (neg.f64 x) (.f64 #s(literal 1/36 binary64) x)) (.f64 (fma.f64 #s(literal 23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)))
(/.f64 (.f64 x (.f64 (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) #s(literal -1/36 binary64))) x)
(/.f64 (.f64 #s(literal 1/36 binary64) x) (fma.f64 #s(literal 23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (.f64 #s(literal -1/36 binary64) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(/.f64 (.f64 #s(literal -1/36 binary64) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) (.f64 (neg.f64 x) (fma.f64 #s(literal 23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal -1/36 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x))
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) (neg.f64 x)))
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x (fma.f64 #s(literal 23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)))
(neg.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)))

eval83.0ms (0.8%)

Memory: 15.1MiB live, 152.1MiB allocated
Compiler: Compiled 22 837 to 2 686 computations (88.2% saved)

prune28.0ms (0.3%)

Memory

18.3MiB live, 64.5MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	548	9	557
Fresh	2	4	6
Picked	4	1	5
Done	0	5	5
Total	554	19	573

Accuracy

100.0%

Counts

573 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.7%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) x) (fma.f64 #s(literal 23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (.f64 (/.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal -1/6 binary64))))) x))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (.f64 #s(literal -1/36 binary64) x) (/.f64 x (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
	56.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 (sqrt.f64 (*.f64 #s(literal 1/36 binary64) x)) (sqrt.f64 x))) x))
	79.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 (*.f64 #s(literal 1/36 binary64) x) x))) x))
	79.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* (* x x) -11/15120) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx (- ( (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
	49.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))) x) x))
	50.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x) x)) x) x))
	49.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))))
✓	98.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	74.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 1 566 to 580 computations (63% saved)

regimes18.0ms (0.2%)

Memory

-14.0MiB live, 31.7MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(approx (* (- (* (* x x) -11/15120) 23/360) x) (.f64 #s(literal -23/360 binary64) x)) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) x) x)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 x x))) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 #s(approx (- ( (* (* -23/360 (* x x)) x) (* (* -23/360 (* x x)) x)) (* 1/36 (* x x))) (.f64 #s(literal -1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (sqrt.f64 (.f64 (*.f64 #s(literal 1/36 binary64) x) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 23/360 binary64)) x) x) x (.f64 (sqrt.f64 (*.f64 #s(literal 1/36 binary64) x)) (sqrt.f64 x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x)) (.f64 #s(literal 1/36 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (.f64 (neg.f64 (.f64 #s(literal 1/36 binary64) x)) x)) (-.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (/.f64 (.f64 #s(literal 1/36 binary64) x) (fma.f64 #s(literal 23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (.f64 #s(literal -1/36 binary64) x) (/.f64 x (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) x)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (/.f64 x (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 529/129600 binary64)) x) (.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 #s(literal -1/36 binary64) (.f64 x x)))) (.f64 (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) (/.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (.f64 (/.f64 (.f64 #s(literal -1/36 binary64) x) x) (.f64 (/.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal -1/6 binary64))))) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

8.0ms	x
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

2.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.6%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
98.8%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify62.0ms (0.6%)

Memory

-17.1MiB live, 82.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	81
1	47	81
2	94	81
3	192	81
4	297	81
5	365	81
6	463	81
7	730	81
8	1725	81
9	7322	81

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

soundness508.0ms (4.8%)

Memory

-20.5MiB live, 370.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	569
1	435	568
2	1463	556
3	5407	556
0	8387	538
0	105	261
1	342	247
2	1093	245
3	4412	243
0	8322	226

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 141 to 73 computations (48.2% saved)

preprocess29.0ms (0.3%)

Memory: 4.0MiB live, 50.3MiB allocated
Compiler: Compiled 186 to 82 computations (55.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze2.0ms (0%)

sample4.5s (42.4%)

explain277.0ms (2.6%)

preprocess296.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify278.0ms (2.6%)

localize136.0ms (1.3%)

series4.0ms (0%)

simplify198.0ms (1.9%)

rewrite297.0ms (2.8%)

eval19.0ms (0.2%)

prune6.0ms (0.1%)

simplify180.0ms (1.7%)

localize362.0ms (3.4%)

series15.0ms (0.1%)

simplify154.0ms (1.5%)

rewrite297.0ms (2.8%)

eval104.0ms (1%)

prune46.0ms (0.4%)

simplify114.0ms (1.1%)

localize349.0ms (3.3%)

series17.0ms (0.2%)

simplify154.0ms (1.5%)

rewrite238.0ms (2.3%)

eval182.0ms (1.7%)

prune77.0ms (0.7%)

simplify248.0ms (2.4%)

localize918.0ms (8.7%)

series52.0ms (0.5%)

simplify186.0ms (1.8%)

rewrite119.0ms (1.1%)

eval83.0ms (0.8%)

prune28.0ms (0.3%)

regimes18.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify62.0ms (0.6%)

soundness508.0ms (4.8%)

preprocess29.0ms (0.3%)

end0.0ms (0%)

Profiling